Homogenization for a nonlocal coupling model:
Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2004
|
| Schriftenreihe: | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin
2004,50 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors." |
| Beschreibung: | 15 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV019676301 | ||
| 003 | DE-604 | ||
| 005 | 20060111 | ||
| 007 | t | ||
| 008 | 050127s2004 |||| 00||| eng d | ||
| 035 | |a (OCoLC)60248889 | ||
| 035 | |a (DE-599)BVBBV019676301 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 | ||
| 084 | |a SS 4779 |0 (DE-625)143524: |2 rvk | ||
| 100 | 1 | |a Hochmuth, Reinhard |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Homogenization for a nonlocal coupling model |c Reinhard Hochmuth |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 2004 | |
| 300 | |a 15 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 2004,50 | |
| 520 | 3 | |a Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Homogenization (Differential equations) | |
| 650 | 4 | |a Thermodynamics | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t ZIB-Report |v 2004,50 |w (DE-604)BV013191727 |9 2004,50 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-013004397 | ||
Datensatz im Suchindex
| _version_ | 1804133113718112256 |
|---|---|
| any_adam_object | |
| author | Hochmuth, Reinhard |
| author_facet | Hochmuth, Reinhard |
| author_role | aut |
| author_sort | Hochmuth, Reinhard |
| author_variant | r h rh |
| building | Verbundindex |
| bvnumber | BV019676301 |
| classification_rvk | SS 4779 |
| ctrlnum | (OCoLC)60248889 (DE-599)BVBBV019676301 |
| discipline | Informatik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01761nam a2200325 cb4500</leader><controlfield tag="001">BV019676301</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20060111 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">050127s2004 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)60248889</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019676301</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SS 4779</subfield><subfield code="0">(DE-625)143524:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hochmuth, Reinhard</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Homogenization for a nonlocal coupling model</subfield><subfield code="c">Reinhard Hochmuth</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Konrad-Zuse-Zentrum für Informationstechnik</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">15 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin</subfield><subfield code="v">2004,50</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homogenization (Differential equations)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Thermodynamics</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik Berlin</subfield><subfield code="t">ZIB-Report</subfield><subfield code="v">2004,50</subfield><subfield code="w">(DE-604)BV013191727</subfield><subfield code="9">2004,50</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013004397</subfield></datafield></record></collection> |
| id | DE-604.BV019676301 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:03:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013004397 |
| oclc_num | 60248889 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 15 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Hochmuth, Reinhard Verfasser aut Homogenization for a nonlocal coupling model Reinhard Hochmuth Berlin Konrad-Zuse-Zentrum für Informationstechnik 2004 15 S. txt rdacontent n rdamedia nc rdacarrier ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2004,50 Abstract: "In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors." Boundary value problems Homogenization (Differential equations) Thermodynamics Konrad-Zuse-Zentrum für Informationstechnik Berlin ZIB-Report 2004,50 (DE-604)BV013191727 2004,50 |
| spellingShingle | Hochmuth, Reinhard Homogenization for a nonlocal coupling model Boundary value problems Homogenization (Differential equations) Thermodynamics |
| title | Homogenization for a nonlocal coupling model |
| title_auth | Homogenization for a nonlocal coupling model |
| title_exact_search | Homogenization for a nonlocal coupling model |
| title_full | Homogenization for a nonlocal coupling model Reinhard Hochmuth |
| title_fullStr | Homogenization for a nonlocal coupling model Reinhard Hochmuth |
| title_full_unstemmed | Homogenization for a nonlocal coupling model Reinhard Hochmuth |
| title_short | Homogenization for a nonlocal coupling model |
| title_sort | homogenization for a nonlocal coupling model |
| topic | Boundary value problems Homogenization (Differential equations) Thermodynamics |
| topic_facet | Boundary value problems Homogenization (Differential equations) Thermodynamics |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT hochmuthreinhard homogenizationforanonlocalcouplingmodel |